Determining group structure by set of conjugacy class sizes

DOI10.1080/00927872.2019.1691580zbMath1443.20039OpenAlexW2989839882MaRDI QIDQ5220663

Qinhui Jiang, Changguo Shao

Publication date: 27 March 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1691580

zbMATH Keywords

finite groupsgroup structureconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Lengths of conjugacy classes of π-elements and primary elements in finite groups ⋮ On characterization of a finite group with non-simple socle by the set of conjugacy class sizes

Cites Work

• Unnamed Item
• Determining group structure from the sets of character degrees.
• Determining group structure from sets of irreducible character degrees
• The theory of finite groups. An introduction.
• Finite groups with two conjugacy class sizes of \(\pi\)-elements of primary and biprimary orders.
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS
• Some class size conditions implying solvability of finite groups
• The structure of finite groups of conjugate rank 2
• Structure of finite groups with four conjugacy class sizes of certain elements
• A note on character degrees of finite groups
• Endliche Gruppen I
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group
• On Finite Groups with Given Conjugate Types I

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